Question

The figure shows the location of three points around a lake. The length of the lake, BC, is also shown.

(The figure is not drawn to scale.)

A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 6 miles. The length BC of the triangle is labeled as 2 miles. This length BC is also the length of an irregular gray shaded shape.

Which of the following choices is closest to the distance (in miles) between points A and B?

3.46 miles
5.66 miles
6.32 miles
7.75 miles

Answer 1

B 5.66 is the right answer

Answer 2

A right triangle ABC is formed when we join three points around a lake.
Length of the side AC = 6 miles.
Length of the side BC = 2 miles.
We have to find Length of side AB.
Using Pythagorean theorem for Right triangle ABC , Right angled at B
→AB² + BC²= AC²
→ AB² + 2²= 6²
→ AB² = 36 - 4
→ AB²= 32
→ AB = √ 32
→→AB = 5.66 (approx)
Option (B) AB = 5.66 is Right choice.